Further norm and numerical radii inequalities for operators involving a positive operator

Najla Altwaijry; Cristian Conde; Silvestru Sever Dragomir; Kais Feki; Najla Altwaijry; Cristian Conde; Silvestru Sever Dragomir; Kais Feki

doi:10.3934/math.2025126

AIMS Mathematics

2025, Volume 10, Issue 2: 2684-2696. doi: 10.3934/math.2025126

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Research article

Further norm and numerical radii inequalities for operators involving a positive operator

1.
Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh 11451, Saudi Arabia
2.
Consejo Nacional de Investigaciones Científicas y Técnicas, (1425) Buenos Aires, Argentina & Instituto de Ciencias, Universidad Nacional de Gral. Sarmiento, J. M. Gutierrez 1150, (B1613GSX) Los Polvorines, Argentina
3.
Applied Mathematics Research Group, ISILC, Victoria University, P. O. Box 14428, Melbourne City, MC 8001, Victoria, Australia & Mathematical Sciences, School of Science, RMIT University, GPO Box 2476V, Melbourne, Victoria 3001, Australia
4.
University of Sfax, Laboratory Physics-Mathematics and Applications (LR/13/ES-22), Faculty of Sciences of Sfax, Sfax 3018, Tunisia

Received: 21 November 2024 Revised: 22 January 2025 Accepted: 07 February 2025 Published: 14 February 2025
MSC : 15A60, 46C50, 47A12, 47A30, 47A63

The article examines inequalities for norms and numerical radii of bounded linear operators on complex Hilbert spaces. It focuses on scenarios where three operators are involved, with one being positive, and investigates their sums or products. Some of our findings extend existing inequalities established in the literature.
- positive operator,
- Hilbert space,
- numerical radius,
- operator norm,
- inequalities
Citation: Najla Altwaijry, Cristian Conde, Silvestru Sever Dragomir, Kais Feki. Further norm and numerical radii inequalities for operators involving a positive operator[J]. AIMS Mathematics, 2025, 10(2): 2684-2696. doi: 10.3934/math.2025126

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Abstract

The article examines inequalities for norms and numerical radii of bounded linear operators on complex Hilbert spaces. It focuses on scenarios where three operators are involved, with one being positive, and investigates their sums or products. Some of our findings extend existing inequalities established in the literature.

References

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